معرفی
Tara Brendle is Professor of Mathematics at the University of Glasgow within the School of Mathematics and Statistics, specializing in the interplay between algebra and topology. Her research centers on mapping class groups of surfaces and their profound connections to braid groups, Coxeter groups, arithmetic groups, and automorphism groups of free groups.
Her primary research explores how these algebraic structures determine the topology of 3- and 4-manifolds through constructions like Heegaard splittings and Lefschetz fibrations. She investigates cohomological properties, subgroup structures, and representation-theoretic aspects of mapping class groups, with significant contributions to understanding the Johnson kernel and hyperelliptic Torelli groups.
Over the past two decades, Brendle's publications reveal a consistent focus on geometric and algebraic properties of surface automorphism groups, evolving from foundational work on generators and relations to cutting-edge research on high-dimensional cohomology of moduli spaces and stability phenomena. Her collaborations with leading mathematicians like Dan Margalit and Andrew Putman have produced influential results across geometric group theory.
She actively supervises doctoral research on mapping class groups, braid groups, and low-dimensional topology, guiding students including Bader, Philipp; Corrigan, Gabriel; Giannini, Riccardo; and Pietrzak, Alicja on advanced topics at the intersection of algebra and geometry.
